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Finding the Fourth Proportional to 1,298.99, 1,794.06 and 858.84

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Solution

The fourth proportional to 1,298.99, 1,794.06 and 858.84 is: 1,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.99 : 1,794.06 = 858.84 : x
  2. Step 2: Convert to fraction form
    1,298.99/1,794.06 = 858.84/x
  3. Step 3: Cross multiply
    1,298.99x = 1,794.06 × 858.84
  4. Step 4: Simplify right side
    1,298.99x = 1,540,810.49
  5. Step 5: Solve for x
    x = 1,540,810.49/1,298.99
  6. Step 6: Final answer
    x = 1,186.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.